ACOS 8.EE.B.5 Flashcard

Front

What does it mean for a relationship to be proportional?

Back

A proportional relationship means that two quantities maintain a constant ratio or rate. For example, if y is always twice x, then the relationship is proportional.

Front

How do you calculate the slope of a line?

Back

The slope (m) is calculated by the formula m = (change in y) / (change in x). It represents the steepness of the line.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second term is 1. For example, if a car travels 60 miles in 1 hour, the unit rate is 60 miles/hour.

Front

What does the slope of 4 indicate about a line?

Back

A slope of 4 indicates that for every 1 unit increase in x, y increases by 4 units, showing a steep upward trend.

Front

What does 'm' represent in the slope-intercept form of a linear equation?

Back

'm' represents the slope of the line in the equation y = mx + b.

Front

If a table shows values of x and y that are proportional, what can you say about the ratio of y to x?

Back

The ratio of y to x will be constant for all pairs of values in the table.

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Front

How can you determine if a relationship is not proportional?

Back

A relationship is not proportional if the ratio of y to x changes with different values.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is m = (y2 - y1) / (x2 - x1).